The Determinants over Associative Rings: a Definition, Properties, New Formulas and a Computational Complexity

DOI10.17516/1997-1397-2016-9-4-443-448OpenAlexW2560558210MaRDI QIDQ5853016

Georgiĭ Petrovich Egorychev

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu503

zbMATH Keywords

determinantspolynomial identitiesassociative ringsnoncommutative variablespolarization theorem

Mathematics Subject Classification ID

Associative rings and algebras (16-XX) Combinatorics (05-XX)

Cites Work

• A new family of polynomial identities for computing determinants
• Determinants of matrices over noncommutative rings
• On the complexity of computations on monomials and tuples of powers
• New polynomial identities for determinants over commutative rings
• On an \(n\)-Lie algebra of Jacobians
• Simple quotient algebras and subalgebras of Jacobian algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Determinants over Associative Rings: a Definition, Properties, New Formulas and a Computational Complexity